Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators
Asymptotic behavior of the number of solutions for non-Archimedean Diophantine approximations with restricted denominators
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DOI：
10.1016/j.ffa.2008.03.001
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发表时间：
2008-11
期刊：
影响因子：
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通讯作者：
V. Berthé;H. Nakada;Rie Natsui
中科院分区：
文献类型：
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作者：
V. Berthé;H. Nakada;Rie Natsui
我们考虑有限域上系数Laurent形式幂函数的分母受限的丢番图解的个数的渐近行为的度量结果。我们特别考虑了分母为不可约多项式的幂的有理函数的逼近，并研究了所考虑的不等式解的个数的强大数定律。
We consider metric results for the asymptotic behavior of the number of solutions of Diophantine approximation inequalities with restricted denominators for Laurent formal power series with coefficients in a finite field. We especially consider approximations by rational functions whose denominators are powers of irreducible polynomials, and study the strong law of large numbers for the number of solutions of the inequalities under consideration.